Algebra 1 - C2

Syllabus

M.L.Carlomagno

MVRHS 2009 - 2010

What is Algebra?

The word algebra is of Arabic origin.  Is means equal or can be added to both sides of the equation.

Algebra is a branch of mathematics in which symbols,

usually letters of the alphabet, are used to represent quantities and relationships that hold true for all members of a set.

1st Semester

Chapter 1: Patterns

                Vocabulary

                  Using Differences to Identify Sequences

                Variables, Expressions and Equations

                  Algebraic Order of Operations

                Graphing with Coordinates

                Linear Equations

                Scatter Plots

Chapter 2: Operations

                Vocabulary

                Absolute Value

                Adding Real Numbers

                Subtracting Real Numbers

                Multiplying and Dividing Real Numbers

                Properties

                Adding and Subtracting Expressions

                Multiplying and Dividing Expressions

Chapter 3: Algebraic Equations

                Vocabulary

                Solving Equations by Adding and Subtracting

                Solving Equations by Multiplying and Dividing  

                Two-Step Equations

                Multi-Step Equations

                Distributive Property

                Formulas

Chapter 4: Proportions and Statistics

                Vocabulary

                Proportional Reasoning

                Fractions, Percents, and Decimals

                Probability

                Mean, Median, Mode, and Range

                Graphs

Chapter 5: Linear Functions

                Vocabulary

                Functions and Graphs

                Slope

                Rate of Change / Direct Variation

                Slope-Intercept Form

                Parallel and Perpendicular Lines

                

Chapter 6: Inequalities and Absolute Values

                Vocabulary

                Solving Inequalities

                Multi-Step Inequalities

                Compound Inequalities

                Absolute Value Functions

                

2nd Semester

Chapter 7: Systems of Equations and Inequalities

                Vocabulary

                Graphing Systems of Equations

                Substitution

                Elimination

                Systems of Inequalities

                Word Problems

Chapter 8: Exponential Functions

                Vocabulary

                Laws of Exponents

                Powers and Products

                Dividing Exponents

                Negative and Zero Exponents

                Scientific Notation

                Exponential Functions

Chapter 9: Polynomials and Factoring

                Vocabulary

                Adding and Subtracting Polynomials

                Multiplication

                Binomials

                Polynomial Functions

                Common Factors

                Factoring Polynomials

                Factoring Quadratics

                Solving Equations

Chapter 10: Quadratic Function

                Vocabulary

                Graphing Parabolas

                Square Root Equations

                Solving Quadratics

                Quadratic Formula

Chapter 11: Rational Functions

                Vocabulary

                Inverse Variation

                Rational Expressions

                Simplifying Rational Expressions

                Operations with Rational Expressions

                Solving Rational Equations

Chapter 12: Radicals and Coordinate Geometry

                Vocabulary

                Operations with Radicals

                Square Root Functions

                Pythagorean Theorem

                Distance Formula

                

Chapter 13: Probability

                Vocabulary

                Theoretical Probability

                Set Elements

                Fundamental Counting Principle

                Independent Events